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A train can travel 50% faster than car. Both start from point A at the same time and reach point B , 100 km away from point A at the same time. On the way, however , the train, lost about 12.5 minutes while stopping at the stations . What is the speed of the car?180 kmph120 kmph160 kmph80 kmph50 kmph

Question

A train can travel 50% faster than car. Both start from point A at the same time and reach point B , 100 km away from point A at the same time. On the way, however , the train, lost about 12.5 minutes while stopping at the stations . What is the speed of the car?180 kmph120 kmph160 kmph80 kmph50 kmph

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Solution

Let's solve this step by step:

Step 1: Let's assume the speed of the car is x kmph.

Step 2: Since the train is 50% faster than the car, the speed of the train is 1.5x kmph.

Step 3: The time taken by the car to cover 100 km is 100/x hours.

Step 4: The train lost 12.5 minutes, which is 12.5/60 = 0.20833 hours. So, the time taken by the train to cover 100 km is (100/1.5x) + 0.20833 hours.

Step 5: According to the problem, both the car and the train reach point B at the same time. So, the time taken by the car to cover 100 km is equal to the time taken by the train to cover 100 km.

Step 6: Therefore, we can set up the equation 100/x = (100/1.5x) + 0.20833.

Step 7: Solving this equation, we get x = 80.

So, the speed of the car is 80 kmph.

This problem has been solved

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